"This is an excellent textbook, very good for a graduate course in algebraic geometry. ... The added exercises improve the quality of the book as a textbook. ... many new references are added to the ones in the original edition. ... I find very nice the last paragraph of every section, which contains bibliographic references; they reflect the author s point of view on the history of these mathematical discoveries and they give useful hints for further readings, both to students and to advanced researchers." --Marco Andreatta, Mathematical Reviews, Issue 2001 k
"The present book is a translation of an earlier Romanian text and one might ask: why publish it anew? ... first of all it is the only existing monograph treating classification of algebraic surfaces in all characteristics in a reasonably self-contained manner. Secondly, it is very carefully written and gives all the necessary references. ... My conclusion is that the monograph is a good introductory text for self-study or for a graduate course for anyone with the required background ." --C. A. M. Peters, Nieuf Archief voor Wiskunde, Vol. 5/3 (4), 2002
"The book under review is the translation into English of the Romanian original ... . As this excellent textbook on general algebraic surfaces has not suffered loss from its actuality ... it finally has conquered its deserved place within the international literature ... . The exposition is very clear, thorough, rigorous, elegant, and positively creative. This makes the book into a still very valuable source ... . Without any doubt, this is one of the very best books on algebraic surfaces, now as before." --Werner Kleinert, Zentralblatt MATH, Vol. 965, 2001
Biography of Oscar Zariski
Oscar Zariski (24.4.1899-4.7.1986) was born in Kobryn, Poland, and studied at the universities of Kiev and Rome. He held positions at Rome University, John Hopkins University, the University of Illinois and from 1947 at Harvard University.
Zariski's main fields of activity were in algebraic geometry, algebra, algebraic function theory and topology. His most influential results bear on algebraic surfaces, the resolution of singularities and the foundations of algebraic geometry over arbitrary fields.
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Destinations, frais et délaisVendeur : Libreria sottomarina - Studio Bibliografico, ROMA, Italie
brossura. Etat : Perfetto (Mint). Book. N° de réf. du vendeur oc02darTEK
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Vendeur : moluna, Greven, Allemagne
Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This book presents fundamentals from the theory of algebraic surfaces, including areas such as rational singularities of surfaces and their relation with Grothendieck duality theory, numerical criteria for contractibility of curves on an algebraic surface, . N° de réf. du vendeur 4173606
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Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book presents fundamentals from the theory of algebraic surfaces, including areas such as rational singularities of surfaces and their relation with Grothendieck duality theory, numerical criteria for contractibility of curves on an algebraic surface, and the problem of minimal models of surfaces. In fact, the classification of surfaces is the main scope of this book and the author presents the approach developed by Mumford and Bombieri. Chapters also cover the Zariski decomposition of effective divisors and graded algebras. The main aim of this book is to present a completely algebraic approach to the Enriques¿ classification of smooth projective surfaces defined over an algebraically closed field of arbitrary characteristic. This algebraic approach is one of the novelties of this book among the other modern textbooks devoted to this subject. Two chapters on surface singularities are also included. The book can be useful as a textbook for a graduate course on surfaces, for researchers or graduate students in algebraic geometry, as well as those mathematicians working in algebraic geometry or related fields. 272 pp. Englisch. N° de réf. du vendeur 9781441931498
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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - The aim of this book is to present certain fundamental facts in the theory of algebraic surfaces, defined over an algebraically closed field lk of arbitrary characteristic. The book is based on a series of talks given by the author in the Algebraic Geometry seminar at the Faculty of Mathematics, University of Bucharest. The main goal is the classification of nonsingular projective surfaces (also called simply surfaces). In the context of complex algebraic varieties, the classification was obtained by Enriques and Castelnuovo. Around 1960, Kodaira [Kodl, Kod2] revived and simplified the classification of complex algebraic surfaces and extended it to the case of compact analytic surfaces. The problem of classifying surfaces in arbitrary characteristic remained open. The first step in this direction was the purely algebraic proof (valid in arbitrary characteristic), due to Zariski [Zarl, Zar2], of Castelnuovo's criterion of rationality. Then Mumford [Mum3, Mum4] introduced several new ideas, and the classification of surfaces in positive characteristic be came possible. Finally, Bombieri and Mumford [BMl, BM2] completed the classification of surfaces in arbitrary characteristic. Their result was the following: The same types of surfaces that exist in the case when lk is the complex field arise in the general case, if one sets aside certain pathologies that arise only in characteristic 2 or 3. N° de réf. du vendeur 9781441931498
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Paperback / softback. Etat : New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 440. N° de réf. du vendeur C9781441931498
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Vendeur : Books Puddle, New York, NY, Etats-Unis
Etat : New. pp. 272. N° de réf. du vendeur 263062691
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Vendeur : Biblios, Frankfurt am main, HESSE, Allemagne
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Vendeur : Majestic Books, Hounslow, Royaume-Uni
Etat : New. Print on Demand pp. 272 15 Illus. N° de réf. du vendeur 5833852
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